Search a number
-
+
54379201 is a prime number
BaseRepresentation
bin1100111101110…
…0001011000001
310210022202020111
43033130023001
5102410113301
65221311321
71230133642
oct317341301
9123282214
1054379201
1128771998
1216265541
13b35c756
1473176c9
154b92551
hex33dc2c1

54379201 has 2 divisors, whose sum is σ = 54379202. Its totient is φ = 54379200.

The previous prime is 54379187. The next prime is 54379231. The reversal of 54379201 is 10297345.

54379201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52200625 + 2178576 = 7225^2 + 1476^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54379201 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (54379231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27189600 + 27189601.

It is an arithmetic number, because the mean of its divisors is an integer number (27189601).

Almost surely, 254379201 is an apocalyptic number.

It is an amenable number.

54379201 is a deficient number, since it is larger than the sum of its proper divisors (1).

54379201 is an equidigital number, since it uses as much as digits as its factorization.

54379201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 54379201 is about 7374.2254508524. The cubic root of 54379201 is about 378.8589989343.

The spelling of 54379201 in words is "fifty-four million, three hundred seventy-nine thousand, two hundred one".